Jay and Talia are hiking different trails. In the middle of their hikes, jay is 20 feet below sea level and Talia is the same nu
1 answer:
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Answer:
π/10
Step-by-step explanation:
When we rotate the region about the y-axis, we get something that looks like a volcano, or a bundt cake. Instead of slicing this into flat washers, we'll slice it in concentric rings, or "shells".
Each shell has a radius x, a thickness dx, and a height y. The volume of an individual shell is:
dV = 2π r h t
dV = 2π x y dx
Since y = x² − x³:
dV = 2π x (x² − x³) dx
dV = 2π (x³ − x⁴) dx
The total volume is the sum of all the shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π (x³ − x⁴) dx
V = 2π (¼ x⁴ − ⅕ x⁵) |₀¹
V = 2π (¼ − ⅕)
V = π/10
Answer:
Betsy uses gold to make the earrings
Step-by-step explanation:
Given:
Amount of gold with Betsy = ten and one half ounces
Amount of gold Betsy used to make earrings = four fifths
To Find:
How much gold is used by Betsy to make earrings = ?
Solution:
Let the quantity of gold used by Betsy to make earring be X
Then
X = four fifths of ten and one half
X =
X =
X =
X=
Reducing the fraction to lower terms and converting into mixed fraction we get,
X=